document.write( "Question 1188994: The negative reciprocal of the sum of all values of x that satisfy the equation, (x-sqrt(x+1))/(x+sqrt(x+1)) = 11/5 is...
\n" ); document.write( " A) 7 and 1/9 B) -(9/64) C) 1 and 1/8 D) -(1/8) E) 8/9 \n" ); document.write( "

Algebra.Com's Answer #820206 by mccravyedwin(406) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Here is the way I think your teacher expected you to solve the problem:\r\n" );
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document.write( "Here you should observe that since the right side is non-negative, the\r\n" );
document.write( "left side is also non-negative. That can be true if but only if x ≤ 0.\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( ", x ≤ 0\r\n" );
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document.write( "9x+8=0;    x-8=0\r\n" );
document.write( "  9x=-8;     x=8\r\n" );
document.write( "   x=-8/9;  \r\n" );
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document.write( "Since x ≤ 0, we discard x=8, and x=-8/9 is the only solution.\r\n" );
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document.write( "x=-8/9 is the only solution for x, so the sum of all values of x that \r\n" );
document.write( "satisfy the equation is -8/9 itself.\r\n" );
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document.write( "The negative reciprocal of -8/9 is +9/8 which when changed to a mixed\r\n" );
document.write( "number is , choice C).\r\n" );
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document.write( "Edwin

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